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Effective High Frequency Time Constant of CE Amplifier Formula

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Effective High Frequency Time Constant method enables an easy approximate computation of the -3 dB high-frequency limit of an amplifier frequency response. Check FAQs

𝜏 H = C be \cdot R sig + (C cb \cdot (R sig \cdot (1 + g m \cdot R L) + R L)) + (C t \cdot R L)

𝜏_H - Effective High Frequency Time Constant?C_be - Base Emitter Capacitance?R_sig - Signal Resistance?C_cb - Collector Base Junction Capacitance?g_m - Transconductance?R_L - Load Resistance?C_t - Capacitance?

Effective High Frequency Time Constant of CE Amplifier Example

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Here is how the Effective High Frequency Time Constant of CE Amplifier equation looks like with Values.

Here is how the Effective High Frequency Time Constant of CE Amplifier equation looks like with Units.

Here is how the Effective High Frequency Time Constant of CE Amplifier equation looks like.

3.5421 = 27 \cdot 1.25 + (300 \cdot (1.25 \cdot (1 + 4.8 \cdot 1.49) + 1.49)) + (2.889 \cdot 1.49)

3.5421s = 27μF \cdot 1.25kΩ + (300μF \cdot (1.25kΩ \cdot (1 + 4.8mS \cdot 1.49kΩ) + 1.49kΩ)) + (2.889μF \cdot 1.49kΩ)

3.5421 = 27 \cdot 1.25 + (300 \cdot (1.25 \cdot (1 + 4.8 \cdot 1.49) + 1.49)) + (2.889 \cdot 1.49)

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Effective High Frequency Time Constant of CE Amplifier Solution

Follow our step by step solution on how to calculate Effective High Frequency Time Constant of CE Amplifier?

FIRST Step Consider the formula

𝜏 H = C be \cdot R sig + (C cb \cdot (R sig \cdot (1 + g m \cdot R L) + R L)) + (C t \cdot R L)

Next Step Substitute values of Variables

∴

𝜏 H = 27μF \cdot 1.25kΩ + (300μF \cdot (1.25kΩ \cdot (1 + 4.8mS \cdot 1.49kΩ) + 1.49kΩ)) + (2.889μF \cdot 1.49kΩ)

Next Step Convert Units

∴

𝜏 H = 2.7E-5F \cdot 1250Ω + (0.0003F \cdot (1250Ω \cdot (1 + 0.0048S \cdot 1490Ω) + 1490Ω)) + (2.9E-6F \cdot 1490Ω)

Next Step Prepare to Evaluate

∴

𝜏 H = 2.7E-5 \cdot 1250 + (0.0003 \cdot (1250 \cdot (1 + 0.0048 \cdot 1490) + 1490)) + (2.9E-6 \cdot 1490)

Next Step Evaluate

∴

𝜏 H = 3.54205461s

LAST Step Rounding Answer

∴

𝜏 H = 3.5421s

Effective High Frequency Time Constant of CE Amplifier Formula Elements

Variables

Effective High Frequency Time Constant

Effective High Frequency Time Constant method enables an easy approximate computation of the -3 dB high-frequency limit of an amplifier frequency response.

Symbol: 𝜏_H

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Effective High Frequency Time Constant

Base Emitter Capacitance

Base Emitter Capacitance is the capacitance of the junction that is forward-biased and is represented by a diode.

Symbol: C_be

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Base Emitter Capacitance

Signal Resistance

Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.

Symbol: R_sig

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Signal Resistance

Collector Base Junction Capacitance

Collector Base Junction Capacitance in active mode is reverse biased and is the capacitance between collector and base.

Symbol: C_cb

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Collector Base Junction Capacitance

Transconductance

Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.

Symbol: g_m

Measurement: Electric ConductanceUnit: mS

Note: Value should be greater than 0.

Formulas to find Transconductance

Load Resistance

Load resistance is the cumulative resistance of a circuit, as seen by the voltage, current, or power source driving that circuit.

Symbol: R_L

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Load Resistance

Capacitance

Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

Symbol: C_t

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Capacitance

Other formulas in Response of CE Amplifier category

Go Amplifier Bandwidth in Discrete-Circuit Amplifier

BW = f h - f L

Go Collector Base Junction Resistance of CE Amplifier

R c = R sig \cdot (1 + g m \cdot R L) + R L

How to Evaluate Effective High Frequency Time Constant of CE Amplifier?

Effective High Frequency Time Constant of CE Amplifier evaluator uses Effective High Frequency Time Constant = Base Emitter Capacitance*Signal Resistance+(Collector Base Junction Capacitance*(Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance))+(Capacitance*Load Resistance) to evaluate the Effective High Frequency Time Constant, The Effective high frequency time constant of CE amplifier formula is defined as a method that enables an easy approximate computation of the -3 dB high-frequency limit of an amplifier frequency response, w_H (as well as the equivalent low-frequency limit, w_L) when it is not possible to determine, by direct inspection, the values of the zeros and poles of the frequency response. Effective High Frequency Time Constant is denoted by 𝜏_H symbol.

How to evaluate Effective High Frequency Time Constant of CE Amplifier using this online evaluator? To use this online evaluator for Effective High Frequency Time Constant of CE Amplifier, enter Base Emitter Capacitance (C_be), Signal Resistance (R_sig), Collector Base Junction Capacitance (C_cb), Transconductance (g_m), Load Resistance (R_L) & Capacitance (C_t) and hit the calculate button.

FAQs on Effective High Frequency Time Constant of CE Amplifier

What is the formula to find Effective High Frequency Time Constant of CE Amplifier?

The formula of Effective High Frequency Time Constant of CE Amplifier is expressed as Effective High Frequency Time Constant = Base Emitter Capacitance*Signal Resistance+(Collector Base Junction Capacitance*(Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance))+(Capacitance*Load Resistance). Here is an example- 3.560981 = 2.7E-05*1250+(0.0003*(1250*(1+0.0048*1490)+1490))+(2.889E-06*1490).

How to calculate Effective High Frequency Time Constant of CE Amplifier?

With Base Emitter Capacitance (C_be), Signal Resistance (R_sig), Collector Base Junction Capacitance (C_cb), Transconductance (g_m), Load Resistance (R_L) & Capacitance (C_t) we can find Effective High Frequency Time Constant of CE Amplifier using the formula - Effective High Frequency Time Constant = Base Emitter Capacitance*Signal Resistance+(Collector Base Junction Capacitance*(Signal Resistance*(1+Transconductance*Load Resistance)+Load Resistance))+(Capacitance*Load Resistance).

Can the Effective High Frequency Time Constant of CE Amplifier be negative?

No, the Effective High Frequency Time Constant of CE Amplifier, measured in Time cannot be negative.

Which unit is used to measure Effective High Frequency Time Constant of CE Amplifier?

Effective High Frequency Time Constant of CE Amplifier is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Effective High Frequency Time Constant of CE Amplifier can be measured.

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Effective High Frequency Time Constant of CE Amplifier Formula

Effective High Frequency Time Constant of CE Amplifier Example

Effective High Frequency Time Constant of CE Amplifier Solution

Effective High Frequency Time Constant of CE Amplifier Formula Elements

Other formulas in Response of CE Amplifier category

How to Evaluate Effective High Frequency Time Constant of CE Amplifier?

FAQs on Effective High Frequency Time Constant of CE Amplifier

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